Question

what information do you need to create a cylinder, a sphere, and a pyramid that all have the same volume?

Answer 1

Answer:

h=4/3 r Base area  =27(pi)/16 h^2

Step-by-step explanation:

The Volume of the following solids are

Cylinder: (pi)r^2 h

Sphere:4/3 (pi) r^3

Pyramid: 1/3(base area) h

Assuming that the Volume is the same in all three solids

(pi)r^2 h= 4/3 (pi) r^3

Simplify

h=4/3 r

(pi) r^2 h= 1/3(Base area)h

Simplify

(pi) r^2= 1/3 base area

substitute r=3/4 h

(pi) 9/16 h^2=1/3 base area

Base area  =27(pi)/16 h^2